Let S = $100, K = $95, r = 8%, σ = 0.3, 6 = 0, T = 1 year. The stock price is modeled by a 3-period binomial forward tree and the length of each period is 4 months. Determine the premium of 95-strike American put with 1 year to expiration.
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- A stock is trading at $80 per share. The stock is expected to have a yearend dividend of $4 per share (D1 = $4), and it is expected to grow at some constant rate, g, throughout time. The stock’s required rate of return is 14% (assume the market is in equilibrium with the required return equal to the expected return). What is your forecast of gL?Crisp Cookware’s common stock is expected to pay a dividend of $3 a share at the end of this year (D1 = $3.00); its beta is 0.8. The risk-free rate is 5.2%, and the market risk premium is 6%. The dividend is expected to grow at some constant rate g, and the stock currently sells for $40 a share. Assuming the market is in equilibrium, what does the market believe will be the stock’s price at the end of 3 years (i.e., what is )?For a two-period binomial model, you are given: Each period is one year. The current price for a non dividend-paying stock is 20. u = 1.2840, where u is one plus the rate of capital gain on the stock per period if the stock price goes up. d = 0.8607, where d is one plus the rate of capital loss on the stock per period if the stock price goes down. The continuously compounded risk-free interest rate is 5%. Calculate the price of an American call option on the stock with a strike price of 22.
- If a stock's P/E ratio is 13.5 at a time when earnings are $3 per year and the dividend payout ratio is 40%, what is the stock's current price?Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 60% per year Exercise price $57 Stock price $57 Annual interest rate 3% Dividend 0 Recalculate the value of the call with the following changes: a. Time to expiration 3 months b. Standard deviation 25% per year c. Exercise price $64 d. Stock price $64 e. Interest rate 6% Select each scenario independently. Note: Round your answers to 2 decimal places.A stock index is currently 1,500. Its volatility is 18%. The risk-free rate is 4% per annum (continuously compounded) for all maturities and the dividend yield on the index is 2.5%. Calculate values for u, d, and p when a 6-month time step is used. What is the value a 12-month American put option with a strike price of 1,480 given by a two-step binomial tree.
- The yearly rates of return for a stock are 0 .15, -0.04, .05, -0.07, 0.24, 0.03. In the following your answers should be correct to 3 places after the decimal point. The Compound Rate of Return per annum compounded annually isA stock index is currently 1,500. Its volatility is 18%. The risk-free rate is 4% per annum (continuously compounded) for all maturities and the dividend yield on the index is 2.5%. Calculate values for u, d, and p when a six-month time step is used. What is the value a 12-month American put option with a strike price of 1,480 given by a two-step binomial tree.Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 52% per year Exercise price $53 Stock price $51 Annual interest rate 2% Dividend 0 Calculate the value of a put option. (Round to 2 decimal places). Value of a put option
- Consider a stock currently priced at $60. Assume that in each period of one month, the stock could either appreciate or depreciate by 10%. The risk free rate is 2% per period. What would be the value of a 3-month 60 European call if a dividend of $1 would be paid and the ex - dividend date is at the end of the second period? Justify your answer.Use the Black-Scholes formula for the following stock: Time to expiration 6 months Standard deviation 42% per year Exercise price $44 Stock price $43 Annual interest rate 2% Dividend 0 Calculate the value of a call option. (Round to 2 decimal places.) Value of a call option ?Under peso-cost averaging, an investor will purchase P26,500 worth of stock each year for 5 years. The stock price is P40 in year 1, and is 5% increasing for the next 3 years except for the 5th year that the stock price decreases by 10%. A. What is the share purchased in every year? B. Compute the average price per share. C. Compute the average cost per share